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Finding the Fourth Proportional to 15,892.75, 23,828.59 and 7,574.05

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Solution

The fourth proportional to 15,892.75, 23,828.59 and 7,574.05 is: 11,356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.75 : 23,828.59 = 7,574.05 : x
  2. Step 2: Convert to fraction form
    15,892.75/23,828.59 = 7,574.05/x
  3. Step 3: Cross multiply
    15,892.75x = 23,828.59 × 7,574.05
  4. Step 4: Simplify right side
    15,892.75x = 180,478,932.09
  5. Step 5: Solve for x
    x = 180,478,932.09/15,892.75
  6. Step 6: Final answer
    x = 11,356.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.